9th Class Math | Exercise 4.4 Questions 5 & 6 | HCF by Division Method | NBF

Описание: 9th Class Math | Exercise 4.4 Questions 5 & 6 | HCF by Division Method | NBF #9thclassmath

This video is a mathematics tutorial focused on finding the Highest Common Factor (HCF) of polynomials using the division method, specifically covering Questions 5 and 6 of Exercise 4.4 from the 9th Class National Book Foundation (NBF) curriculum.
​Key Concepts Covered
​The instructor explains that when using the division method for HCF:
​The polynomial with the higher degree becomes the dividend, and the one with the lower degree becomes the divisor [01:42].
​If the degrees are equal, either can be used as the divisor [02:12].
​You can multiply or divide a polynomial by a constant number to make coefficients divisible without changing the HCF [03:50].
​Video Summary
​1. Question 5 [01:00]
​The instructor solves for the HCF of two cubic polynomials:
​Initial Step: Since the leading coefficients (2 and 3) don't match, the dividend is multiplied by 2 to make it divisible [04:17].
​First Division: After the first subtraction, the remainder is simplified by taking -5 as a common factor [07:33].
​Continued Division: The original divisor then becomes the new dividend. The process continues until the remainder reaches zero [12:44].
​Result: The HCF for Question 5 is determined to be x - 1 [13:00].
​2. Question 6 [13:14]
​The second part of the video deals with polynomials containing the variable p.
​Ordering: The instructor emphasizes arranging the terms in descending order of their exponents before starting [13:54].
​Dividend Preparation: Since one expression has a degree of 4 (P^4) and the other has a degree of 3 (P^3), the P^4 expression is placed inside. Space is left for missing terms like P^3 to keep the division organized [16:21].
​Process: Similar to the first question, the instructor uses constant multiplication (multiplying by 5) to handle incompatible coefficients [17:20] and simplifies remainders by taking common factors (93) [23:30].
​Result: The HCF for Question 6 is P^2 + 1 [25:56].
​The video concludes after demonstrating the final steps of the division for Question 6, confirming that the last divisor used to reach a zero remainder is the HCF [25:45].

In this video, you will learn 9th Class Mathematics – Exercise 4.4, Questions 5 & 6 from the National Book Foundation (NBF) syllabus.
The topic covered is HCF (Highest Common Factor) by Division Method, explained step by step in a simple and exam-oriented way.
This lecture is specially prepared for Federal Board / NBF students to help them understand the division method of finding HCF clearly.
Perfect for exam preparation, concept building, and practice.

Watch till the end for complete solution and tips.

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